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Finding the Fourth Proportional to 169.17, 252.53 and 166.74

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Solution

The fourth proportional to 169.17, 252.53 and 166.74 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.17 : 252.53 = 166.74 : x
  2. Step 2: Convert to fraction form
    169.17/252.53 = 166.74/x
  3. Step 3: Cross multiply
    169.17x = 252.53 × 166.74
  4. Step 4: Simplify right side
    169.17x = 42,106.02
  5. Step 5: Solve for x
    x = 42,106.02/169.17
  6. Step 6: Final answer
    x = 248.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.